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Finding the Fourth Proportional to 133,872.14, 200,743.56 and 77,726.40

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Solution

The fourth proportional to 133,872.14, 200,743.56 and 77,726.40 is: 116,552.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,872.14 : 200,743.56 = 77,726.40 : x
  2. Step 2: Convert to fraction form
    133,872.14/200,743.56 = 77,726.40/x
  3. Step 3: Cross multiply
    133,872.14x = 200,743.56 × 77,726.40
  4. Step 4: Simplify right side
    133,872.14x = 15,603,074,241.98
  5. Step 5: Solve for x
    x = 15,603,074,241.98/133,872.14
  6. Step 6: Final answer
    x = 116,552.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.